Results 51 to 60 of about 794 (179)
Discrete Dynamics in Nature and Society, 2012 Using generalized variational principle and Riccati technique, new oscillation criteria are established for forced second-order differential equation with mixed nonlinearities, which improve and generalize some recent papers in the literature.
Jing Shao, Fanwei Meng, Xinqin Pang
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A reduction technique for generalised Riccati difference equations arising in linear-quadratic optimal control [PDF]
2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012 In this paper we develop a reduction technique for the generalised Riccati difference equation arising in optimal control and optimal filtering. This technique relies on a decomposition method for the generalised Riccati difference equation that isolates its nilpotent part, which becomes constant in a number of iteration steps equal to the nilpotency ...
FERRANTE, AUGUSTO, L. Ntogramatzidis
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Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach +2 more
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we consider the optimal control problem for an unknown continuous‐time nonlinear system, and present a framework that integrates model‐based and model‐free methods to solve it. Each approach offers distinct advantages: model‐based techniques provide offline synthesis and data efficiency, while model‐free procedures excel at ...
Surabhi Athalye +2 more
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Forced oscillation of second order nonlinear dynamic equations on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2008 By means of the Kartsatos technique and generalized Riccati transformation techniques, we establish some new oscillation criteria for a second order nonlinear dynamic equations with forced term on time scales in terms of the coefficients.
M. Huang, W. Feng
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The Shifting Technique for Solving a Nonsymmetric Algebraic Riccati Equation
, 2011 This paper analyzes a special instance of nonsymmetric algebraic matrix Riccati equations arising from transport theory. Traditional approaches for finding the minimal nonnegative solution of the matrix Riccati equations are based on the fixed point iteration and the speed of the convergence is linear.
Chiang, Chun-Yueh, Lin, Matthew M.
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Measured‐State Conditioned Recursive Feasibility for Stochastic Model Predictive Control
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we address the problem of designing stochastic model predictive control (SMPC) schemes for linear systems affected by unbounded disturbances. The contribution of the paper is rooted in a measured‐state initialization strategy. First, due to the nonzero probability of violating chance‐constraints in the case of unbounded noise ...
Mirko Fiacchini +2 more
wiley +1 more source
Abstract and Applied Analysis, 2011 Using the generalized variational principle and the Riccati technique, new oscillation criteria are established for the forced second-order nonlinear differential equation, which improves and generalizes some of the new results in literature.
Jing Shao, Fanwei Meng
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The role of identification in data‐driven policy iteration: A system theoretic study
International Journal of Robust and Nonlinear Control, EarlyView.Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
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Oscillation Criteria for PDE with p-Laplacian via the Riccati Technique
Journal of Mathematical Analysis and Applications, 2000 The aim of this paper is to give some oscillation criteria for the following partial differential equation (PDE) with \(p\)-Laplacian: \[ \text{div}(\|\nabla u\|^{p-2}\nabla u)+ c(x)\phi(u)=0,\tag{1} \] where \(p>1\) and \(\phi(u)=|u|^{p-2}u\). The equation (1) is said to be oscillatory if every solution \(u\) is oscillatory, i.e., \(u\) has a zero in \
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